Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
classification
🧮 math.DG
keywords
magnetictypecurvatureestimateslaplacianriccibusercheeger
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In this paper, we present a Lichnerowicz type estimate and (higher order) Buser type estimates for the magnetic Laplacian on a closed Riemannian manifold with a magnetic potential. These results relate eigenvalues, magnetic fields, Ricci curvature, and Cheeger type constants.
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